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3 years ago

5.3 cm 6.6 cm Find the length of the Unknown leg of the right triangle

Mathematics

2 answers:

nika2105 [10]3 years ago

8 0

Answer:

3.93 cm

Step-by-step explanation:

Use the Pythagorean Theorem to solve

$a^{2} + b^{2} = c^{2}$

It is known that the missing value is the leg

Substitute in 5.3 for leg 1 and 6.6 for the hypotenuse

$5.3^{2} + b^{2} = 6.6^{2}$

Solve exponents

$28.09 + b^{2} = 43.56$

Subtract 28.09 from both sides of the equation

$b^{2} = 15.47$

Simplify

b = 3.93 cm

3.93 cm

Hope this helps :)

SSSSS [86.1K]3 years ago

4 0

We are trying to find the unknown leg of the triangle and we can use the formula a^2 + b^2 = c^2.

5.3^2 + b^2 = 6.6^2

28.09 + b^2 = 43.56

28.09 - 28.09 + b^2 = 43.56 - 28.09

b^2 = 15.47

√b^2 = √15.47

b = 3,9331...

Lets round to the bearest hundreth.

3.9331... ≈ 3.93

Therefore, the length of the unknown leg is approximately 3.93cm.

Best of Luck!

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Step-by-step explanation:

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In this case, a system of equations must be generated with the information given in the statement.

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Let z be the amount of investment in the money market

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In order not to make the answer too extensive, we will solve the system of equations with the help of symbolab, here is the step-by-step of everything they do in a very detailed and precise way.

https://es.symbolab.com/solver/step-by-step/x%20%2B%20y%20%2B%20z%20%3D%2016000%3B%200.07%20%5Ccdot%20x%20%2B%200.09%20%5Ccdot%20y%20%2B%200.12%20%5Ccdot%20z%20%3D%201640%3B%203%20%5Ccdot%20x%20%3D%20y

From this, the results are as follows:

x = 2000

y = 6000

z = 8000

Thus

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6000 was the amount of the investment in the payment of bonds

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